1578070872 has 288 divisors, whose sum is σ = 5258373120. Its totient is φ = 425658240.

The previous prime is 1578070867. The next prime is 1578070909. The reversal of 1578070872 is 2780708751.

1578070872 is a `hidden beast` number, since 1 + 578 + 0 + 7 + 0 + 8 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5140143 + ... + 5140449.

It is an arithmetic number, because the mean of its divisors is an integer number (18258240).

Almost surely, 2^1578070872 is an apocalyptic number.

1578070872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1578070872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629186560).

1578070872 is an abundant number, since it is smaller than the sum of its proper divisors (3680302248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1578070872 is a wasteful number, since it uses less digits than its factorization.

1578070872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 1578070872 is about 39724.9401761664. The cubic root of 1578070872 is about 1164.2390659282.

The spelling of 1578070872 in words is "one billion, five hundred seventy-eight million, seventy thousand, eight hundred seventy-two".